Can someone help with this problem

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Homework Help Overview

The problem involves finding the derivative of the function y = (e^cx)(c sin x – cos x), which falls under the subject area of calculus, specifically differentiation of products and trigonometric functions.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the derivative calculation and explore simplification of the resulting expression. There is a focus on identifying terms that may cancel out in the derivative.

Discussion Status

The discussion is ongoing, with participants confirming the correctness of each other's attempts and suggesting simplification as a potential next step. There is an acknowledgment of the need to simplify the expression to match a given answer.

Contextual Notes

Some participants express uncertainty about whether additional simplifications are necessary, indicating a potential lack of clarity in the problem setup or expectations.

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Homework Statement



Find the derivative of y = (e^cx)(c sin x – cos x)

Homework Equations



None

The Attempt at a Solution



c(e^cx)(c sin x – cos x) + (c cos x + sin x)(e^cx)

The answer is { (1+c^2)((e^cx)sin x)
 
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Jumpy Lee said:

The Attempt at a Solution



c(e^cx)(c sin x – cos x) + (c cos x + sin x)(e^cx)

The answer is { (1+c^2)((e^cx)sin x)
You're doing fine, they are the same! Try to simplify :smile:
 
it is right ... hey TD ..what he should simplify
 
If you look well, you see the terms in cos(x) are opposite, they cancel out.
 
ah ok he did it ... i thought there is somethin' else i missed thanks for the reply
 
Thanks TD i see how it works now :smile:
 
You're welcome!

When you see that the given answer doesn't match your "longer" answer, always think of simplifying, it may just be correct after all :smile: !
 

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